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Finding the Fourth Proportional to 6,463.06, 9,694.49 and 3,683.81

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Solution

The fourth proportional to 6,463.06, 9,694.49 and 3,683.81 is: 5,525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.06 : 9,694.49 = 3,683.81 : x
  2. Step 2: Convert to fraction form
    6,463.06/9,694.49 = 3,683.81/x
  3. Step 3: Cross multiply
    6,463.06x = 9,694.49 × 3,683.81
  4. Step 4: Simplify right side
    6,463.06x = 35,712,665.02
  5. Step 5: Solve for x
    x = 35,712,665.02/6,463.06
  6. Step 6: Final answer
    x = 5,525.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.